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t is directly proportional to the square root of z and t = 35 when z = 100. Find t when z = 625.

Sagot :

maxyjones80

Answer:

t = 87.5

Step-by-step explanation:

Let's change our proportion sign (∝) into an (=) to make it easier.

t = k * [tex]\sqrt{z}[/tex]  ----------------- (Where K is our constant)

35 = k * [tex]\sqrt{100}[/tex]  ------------------ (Now simplify the square root)

35 = k * 10

35 = 10k

We now want to divide both sides by 10 to isolate K

[tex]\frac{35}{10}[/tex] = [tex]\frac{k}{10}[/tex]

3.5 = K

Now we have our constant, lets insert it into our next line of working out.

t = [tex]\sqrt{625\\}[/tex] * 3.5 (Now simplify the square root)

t = 25 * 3.5

t = 87.5

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